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Popular Functions >

range of f(x)=x^2-4x+8

Solution

range

Solution

f (x) \geq 4

+1

Interval Notation

[4, \infty)

Solution steps

Vertex of

x^{2} - 4 x + 8 :

Minimum

(2, 4)

For a parabola

a x^{2} + b x + c

with Vertex

(x_{v}, y_{v})

If

a < 0

the range is

f (x) \leq y_{v}

If

a > 0

the range is

f (x) \geq y_{v}

a = 1,

Vertex

(x_{v}, y_{v}) = (2, 4)

f (x) \geq 4

Graph

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Frequently Asked Questions (FAQ)

What is the range of f(x)=x^2-4x+8 ?
The range of f(x)=x^2-4x+8 is f(x)>= 4